Pretty sure the way the franchise agreement works - Eastern are responsible for all costs including marketing of route - flybe is purely a virtual carrier in that regard and will display it and sell it as a branded flymaybe flight - they will cream x per ticket sold off of the website and the retention rate is x per pax until the coupon is flown.
You need to repaint your aircraft in my colours and if it fails - tuff! nothing to do with me.... Next!!